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Finding the Third Proportional to 14,509.13 and 25,866.84

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Solution

The third proportional to 14,509.13 and 25,866.84 is: 46,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.13 : 25,866.84 = 25,866.84 : x
  2. Step 2: Convert to fraction form
    14,509.13/25,866.84 = 25,866.84/x
  3. Step 3: Cross multiply
    14,509.13x = 25,866.84 × 25,866.84
  4. Step 4: Simplify right side
    14,509.13x = 669,093,605.59
  5. Step 5: Solve for x
    x = 669,093,605.59/14,509.13
  6. Step 6: Final answer
    x = 46,115.37

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.